34645400 has 48 divisors (see below), whose sum is σ = 80954640. Its totient is φ = 13788800.

The previous prime is 34645349. The next prime is 34645427. The reversal of 34645400 is 454643.

34645400 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a self number, because there is not a number n which added to its sum of digits gives 34645400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61922 + ... + 62478.

It is an arithmetic number, because the mean of its divisors is an integer number (1686555).

Almost surely, 2^34645400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40477320).

34645400 is an abundant number, since it is smaller than the sum of its proper divisors (46309240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34645400 is a wasteful number, since it uses less digits than its factorization.

34645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 34645400 is about 5886.0343186223. The cubic root of 34645400 is about 325.9981933733.

The spelling of 34645400 in words is "thirty-four million, six hundred forty-five thousand, four hundred".